U(5617, - 1, 9539)
|Description:||U(5617, - 1, 9539)|
|Verification status (*):||PRP|
|Official Comment (*):||Generalized Lucas number, cyclotomy|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||x45 : Batalov, OpenPFGW, Primo, Unknown|
|Decimal Digits:||35763 (log10 is 35762.773326207)|
|Rank (*):||60767 (digit rank is 1)|
|Entrance Rank (*):||57891|
|Currently on list? (*):||short|
|Submitted:||6/27/2019 21:42:25 CDT|
|Last modified:||6/27/2019 21:50:20 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||36.3825 (normalized score 0.0003)|
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
- Generalized Lucas Number (archivable *)
- Prime on list: yes, rank 5
Subcategory: "Generalized Lucas Number"
(archival tag id 220322, tag last modified 2020-05-28 13:20:28)
- Cyclotomy Proof (tolerated *)
- Prime on list: no, rank 4
Subcategory: "Cyclotomy Proof"
(archival tag id 220323, tag last modified 2019-06-27 21:50:21)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions. We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
field value prime_id 126596 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/1/pfgw64 -tc -q"lucasU(5617,-1,9539)" 2>&1 PFGW Version 184.108.40.206BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing lucasU(5617,-1,9539) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N+1 test using discriminant 13, base 1+sqrt(13) Calling N-1 BLS with factored part 0.34% and helper 0.27% (1.30% proof) lucasU(5617,-1,9539) is Fermat and Lucas PRP! (118.2600s+0.0030s) [Elapsed time: 1.98 minutes] modified 2020-07-07 17:30:13 created 2019-06-27 21:43:01 id 172282
Query times: 0.0002 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.